Classical control theory | Signal processing | Stability theory
In control theory and stability theory, the Nyquist stability criterion or Strecker–Nyquist stability criterion, independently discovered by the German electrical engineer at Siemens in 1930 and the Swedish-American electrical engineer Harry Nyquist at Bell Telephone Laboratories in 1932, is a graphical technique for determining the stability of a dynamical system. Because it only looks at the Nyquist plot of the open loop systems, it can be applied without explicitly computing the poles and zeros of either the closed-loop or open-loop system (although the number of each type of right-half-plane singularities must be known). As a result, it can be applied to systems defined by non-rational functions, such as systems with delays. In contrast to Bode plots, it can handle transfer functions with right half-plane singularities. In addition, there is a natural generalization to more complex systems with , such as control systems for airplanes. The Nyquist criterion is widely used in electronics and control system engineering, as well as other fields, for designing and analyzing systems with feedback. While Nyquist is one of the most general stability tests, it is still restricted to linear time-invariant (LTI) systems. Non-linear systems must use more complex stability criteria, such as Lyapunov or the circle criterion. While Nyquist is a graphical technique, it only provides a limited amount of intuition for why a system is stable or unstable, or how to modify an unstable system to be stable. Techniques like Bode plots, while less general, are sometimes a more useful design tool. (Wikipedia).
The Routh-Hurwitz Stability Criterion
In this video we explore the Routh Hurwitz Stability Criterion and investigate how it can be applied to control systems engineering. The Routh Hurwitz Stability Criterion can be used to determine how many roots of a polynomial are in the right half plane. Topics and time stamps: 0:00 –
From playlist Control Theory
Closed loop stability lecture 2019-02-19
Discussion of the problems determining closed loop stability. The video I mention for the Nyquist criterion is here: https://youtu.be/3eYU8qIkp64
From playlist CPB Theme 2
The Argument principle and frequency domain stability checks explained
I go over the principle of the argument and the Nyquist and Bode stability criteria. • The GeoGebra book is available here: https://ggbm.at/cV8QmwXZ • The Jupyter notebook is available here: https://bit.ly/2XEsEtE
From playlist Frequency domain
Efficient Stability for the Weyl-Heisenberg Group - Thomas Vidick
Marston Morse Lectures Topic: Efficient Stability for the Weyl-Heisenberg Group Speaker: Thomas Vidick Affiliation: California Institute of Technology Date: March 31, 2023 The question of stability of approximate group homomorphisms was first formulated by Ulam in the 1940s. One of the m
From playlist Mathematics
Reliability 1: External reliability and rater reliability and agreement
In this video, I discuss external reliability, inter- and intra-rater reliability, and rater agreement.
From playlist Reliability analysis
Flexibility in symplectic and contact geometry – Emmy Murphy – ICM2018
Geometry | Topology Invited Lecture 5.6 | 6.2 Flexibility in symplectic and contact geometry Emmy Murphy Abstract: Symplectic and contact structures are geometric structures on manifolds, with relationships to algebraic geometry, geometric topology, and mathematical physics. We discuss a
From playlist Geometry
How do complex numbers actually apply to control systems?
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From playlist Applied Math
Using Bode Plots, Part 3: Phase and Gain Margins
Get a Free Trial: https://goo.gl/C2Y9A5 Get Pricing Info: https://goo.gl/kDvGHt Ready to Buy: https://goo.gl/vsIeA5 Learn what gain margin and phase margins are and how to use them for control design in this MATLAB® Tech Talk by Carlos Osorio. Watch other MATLAB Tech Talk videos here: ht
From playlist Using Bode Plots
Understanding Disk Margin | Robust Control, Part 2
Watch the other videos in this series: Robust Control, Part 1: What Is Robust Control? - https://youtu.be/A7wHSr6GRnc Robust Control, Part 2: Understanding Disk Margin - https://youtu.be/XazdN6eZF80 Robust Control, Part 3: Disk Margins for MIMO Systems - https://youtu.be/sac_IYBjcq0 As w
From playlist Robust Control
The structure of instability in moduli theory - Daniel Halpern-Leistner
Daniel Halpern-Leistner Member, School of Mathematics October 21, 2014 In many examples of moduli stacks which come equipped with a notion of stable points, one tests stability by considering "iso-trivial one parameter degenerations" of a point in the stack. To such a degeneration one can
From playlist Mathematics
Lec 13 | MIT 6.450 Principles of Digital Communications I, Fall 2006
Lecture 13: Random processes View the complete course at: http://ocw.mit.edu/6-450F06 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 6.450 Principles of Digital Communications, I Fall 2006
Teaching Modeling and Controls with the MATLAB Live Editor
Try the interactive control tutorials in your browser: https://bit.ly/3p95sBW In this webinar, Professor Richard Hill demonstrates how to use the MATLAB Live Editor to help your instruction come alive. Learn how you can create engaging lectures, virtual labs, and interactive homework assi
From playlist Teaching with MATLAB and Simulink
Data Driven Methods for Complex Turbulent Systems ( 3 ) - Andrew J. Majda
Lecture 3: Data Driven Methods for Complex Turbulent Systems Abstract: An important contemporary research topic is the development of physics constrained data driven methods for complex, large-dimensional turbulent systems such as the equations for climate change science. Three new approa
From playlist Mathematical Perspectives on Clouds, Climate, and Tropical Meteorology
Lec 12 | MIT 6.450 Principles of Digital Communications I, Fall 2006
Lecture 12: Nyquist theory, pulse amplitude modulation (PAM), quadrature amplitude modulation (QAM), and frequency translation View the complete course at: http://ocw.mit.edu/6-450F06 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at ht
From playlist MIT 6.450 Principles of Digital Communications, I Fall 2006
Surface groups are flexibly stable - Nir Lazarovich
Stability and Testability Topic: Surface groups are flexibly stable Speaker: Nir Lazarovich Affiliation: Technion Date: November 18, 2020 For more video please visit http://video.ias.edu
From playlist Stability and Testability
MIT Electronic Feedback Systems (1985) View the complete course: http://ocw.mit.edu/RES6-010S13 Instructor: James K. Roberge License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT Electronic Feedback Systems (1985)
Voting Theory: Fairness Criterion
This video define 4 Fairness Criterion for determining the winner of an election. Site: http://mathispower4u.com
From playlist Voting Theory
7. Stability via Frequency Response
MIT Electronic Feedback Systems (1985) View the complete course: http://ocw.mit.edu/RES6-010S13 Instructor: James K. Roberge License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT Electronic Feedback Systems (1985)